Numerical Problems in the Dynamical Simulation of Wheel-rail Systems
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چکیده
Wheel-rail systems can be modelled as mechanical multibody systems with holonomic constraints. The dynamical behaviour is described by a diierential-algebraic system of index 3 in non{Hessenberg form ((10]). We discuss the eecient numerical solution of these model equations. A perturbation analysis suggests the integration of the model equations in the Gear{Gupta{Leimkuhler (GGL) formulation. The BDF code ODASSL ((6]) is adapted to the non{Hessenberg form of the diierential-algebraic system. The theoretical results are illustrated by the dynamical simulation of a rigid wheelset.
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